Answer:
Angle k = 14°,L = 70° and N = 96°
Step-by-step explanation:
According to the question,Enzo drew Triangle K L N. In Enzo’s triangle, Measure of angle K is represented as x degrees. The measure of Angle L is 5 times Measure of angle K. The measure of Angle N is 16 degrees less than 8 times Measure of angle K.
From here,we know that angles in a triangle sum up to 180°
If angle k = x
Angle L = 5x
And angle N = 8x - 16
Sum of a all three is equal to 180°
(8x - 16) + x + 5x = 180
14x -16 = 180
X = 196/14
X= 14.
Therefore,angles k = 14°, L = 70° and N= 96°
Let's now assume that the question was to find the angles k,l and n which is already written above and to pick the correct statement relating to the question.
My statement here is( since we weren't given the complete question) that the triangle is a scalene triangle
I think about 0.07 but the exact answer is 0.066666666666667
That is too small to be an improper fraction.
Answer:
Below in bold
Step-by-step explanation:
∫ dx / (x^2√(9-x^2))
Substitute x = 3sinu and dx = 3cosu du
then the √(9-x^2) = √( 9 - 9sin^2u) = 3 cos u and u = arcsin(x/3)
= 3 ∫(csc^2 u du )/ 27
= 1/9 ∫(csc^2 u du
= -1/9 cot u
= -√9-x^2) / 9x.
Answer:
liked = 45 ; disliked = 18
Step-by-step explanation:
Let the number of songs he liked be x & disliked be y.
The ratio of x & y :-
And total number of songs he listened = 63
Then, x + y = 63...................eqn.1
=> x = 63 - y
Substituting the value of x in eqn. 2x = 5y gives :-
2(63 - y) = 5y
=> 126 - 2y = 5y
=> 7y = 126
=> y = 18
Substituting the value of y in eqn.1 gives
x = 63 - 18
= 45
Hence no. of songs he liked = 45 & disliked = 18
